Shorter Notes: A Mean Ergodic Theorem for Families of Contractions in Hilbert Space

1976 ◽  
Vol 61 (1) ◽  
pp. 183
Author(s):  
J. R. Blum ◽  
J. I. Reich
Keyword(s):  
Hilbert Space ◽  
Ergodic Theorem ◽  
Mean Ergodic Theorem

Mean ergodic theorem in function symmetric spaces for infinite measure

2018 ◽  
Vol 2018 (1) ◽  
pp. 35-46
Author(s):  
Vladimir Chilin ◽  
◽  
Aleksandr Veksler ◽  
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces ◽  
Infinite Measure ◽  
Mean Ergodic Theorem

scholarly journals A mean ergodic theorem on vector spaces

1999 ◽  
Vol 12 (8) ◽  
pp. 61-64
Author(s):  
Ping-Kwan Tam ◽  
Kok-Keong Tan
Keyword(s):  
Ergodic Theorem ◽  
Vector Spaces ◽  
Mean Ergodic Theorem

Fixed Point Theorem and Nonlinear Ergodic Theorem for Nonexpansive Semigroups Without Convexity

1992 ◽  
Vol 44 (4) ◽  
pp. 880-887 ◽  
Author(s):  
Wataru Takahashi
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Ergodic Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Nonexpansive Semigroups ◽  
Amenable Semigroups ◽  
Nonlinear Ergodic Theorem

AbstractWe first prove a nonlinear ergodic theorem for nonexpansive semigroups without convexity in a Hilbert space. Further we prove a fixed point theorem for non-expansive semigroups without convexity which generalizes simultaneously fixed point theorems for left amenable semigroups and left reversible semigroups.

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